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Dynamics of Partial Differential Equations
Volume 20 (2023)
Polymer kinetic theory temperature dependent configurational probability diffusion equations: Existence of positive solution results
Pages: 135 – 152
A new configurational probability diffusion—CPD—equation that accounts for temperature dependent molecular dynamics for incompressible polymer fluids is introduced. We prove the existence of positive solutions for the corresponding variational formulation using Schauder’s fixed point theory. The polymer fluid macromolecules are modeled as Finitely Extensible Nonlinear Elastic dumbbells, also known as FENE chains.
FENE polymer chain models, non-isothermal polymer kintetic theory, dimensionless configurational probability diffusion equation, positive solutions existence results
2010 Mathematics Subject Classification
Primary 35Q35. Secondary 35A15.
Received 2 December 2022
Published 17 May 2023